Prompt: Marc solves the equation (^4√x)^3 = 5. His work is shown below.
Step 1: (^4√x)^3 = 5
Step 2: x^3/4 = 5
Step 3: x^3/4x4/3=5 4/3
Step 4: x = ^3√5x5x5x5
Step 5: x = 5^3√5x5x5x5(cancelled out)
Step 6: x=5^3√5
1. Explain what Marc did in steps 4 and 5.
2. Why did he do this?
3. Create your own radical equation and explain how to solve it.
4. Is there an extraneous solution to your equation?
Number your responses from 1 to 4 so your instructor can tell which question you're responding to